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Standard forms of elliptic integrals and their applications to nonlinear evolution equations

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  • Feng, Zhaosheng

Abstract

Many nonlinear evolution equations can be converted into first- or high-order ordinary differential equations. In this paper, we illustrate a connection between the elliptic integrals and some nonlinear evolution equations such as the two-dimensional Boussinesq equation, and demonstrate that traveling wave solutions and periodic wave solutions to these nonlinear equations can be obtained by means of the standard forms of elliptic integrals directly.

Suggested Citation

  • Feng, Zhaosheng, 2005. "Standard forms of elliptic integrals and their applications to nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 177-184.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:1:p:177-184
    DOI: 10.1016/j.chaos.2004.10.005
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